Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Hilbert space fragmentation and commutant algebras

S Moudgalya, OI Motrunich - Physical Review X, 2022 - APS
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

[HTML][HTML] Non-Hermitian skin clusters from strong interactions

R Shen, CH Lee - Communications Physics, 2022 - nature.com
Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by
emergent anyons from the Fractional Quantum hall effect. Within the actively investigated …

Unifying emergent hydrodynamics and lindbladian low-energy spectra across symmetries, constraints, and long-range interactions

O Ogunnaike, J Feldmeier, JY Lee - Physical Review Letters, 2023 - APS
We identify emergent hydrodynamics governing charge transport in Brownian random time
evolution with various symmetries, constraints, and ranges of interactions. This is …

Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians

J Richter, A Pal - Physical Review Research, 2022 - APS
Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to
conservation laws provide obstructions to thermalization in the absence of disorder. In …

Hilbert space fragmentation and exact scars of generalized Fredkin spin chains

CM Langlett, S Xu - Physical Review B, 2021 - APS
In this work, based on the Fredkin spin chain, we introduce a family of spin-1/2 many-body
Hamiltonians with a three-site interaction featuring a fragmented Hilbert space with …

Probing symmetries of quantum many-body systems through gap ratio statistics

O Giraud, N Macé, É Vernier, F Alet - Physical Review X, 2022 - APS
The statistics of gap ratios between consecutive energy levels is a widely used tool—in
particular, in the context of many-body physics—to distinguish between chaotic and …

Hilbert space shattering and disorder-free localization in polar lattice gases

WH Li, X Deng, L Santos - Physical Review Letters, 2021 - APS
Emerging dynamical constraints resulting from intersite interactions severely limit particle
mobility in polar lattice gases. Whereas in absence of disorder hard-core Hubbard models …

Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries

A Khudorozhkov, A Tiwari, C Chamon, T Neupert - SciPost Physics, 2022 - scipost.org
We consider a 2D quantum spin model with ring-exchange interaction that has subsystem
symmetries associated to conserved magnetization along rows and columns of a square …

Constraint-induced delocalization

P Sierant, EG Lazo, M Dalmonte, A Scardicchio… - Physical Review Letters, 2021 - APS
We study the impact of quenched disorder on the dynamics of locally constrained quantum
spin chains, that describe 1D arrays of Rydberg atoms in both the frozen (Ising-type) and …